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Given that bar x is the mean and sigma^2...

Given that `bar x` is the mean and `sigma^2` is the variance of n observations `x_1, x_2, ... x_n`. Prove that the mean and variance of the observations `ax_1, ax_2, ... ,ax_n`, are ` a bar x` and `a^2 sigma^2` respectively `(a ne 0)`.

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MODERN PUBLICATION-STATISTICS-EXERCISE
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  2. Find the mean deviation about the median for the following data :

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  3. Given that bar x is the mean and sigma^2 is the variance of n observat...

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  4. Prove that identity : sum(i=1)^(n) (xi-bar x)^2 = sum(i=1)^(n) xi^2-n ...

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  5. Find the mean and variance for the following data : 2, 4,5, 6, 8, 17...

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  6. Find the mean and variance for the following data: 6, 7, 10, 12, 13, 4...

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  7. Find the mean and variance for the following data: first n natural num...

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  8. Find the mean and variance for the following data : First 10 multipl...

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  9. Find the variance and standard deviation for the following data : 65...

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  10. The scores of batsman A were : 48, 80, 58, 44, 52, 65, 73, 56, 64, 54....

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  11. The scores of batsman A were : 28, 60, 38, 24, 32, 45, 53, 36, 44, 34....

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  12. Find the Standard Deviation of the following data :

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  13. Find the mean and standard deviation for the following data :

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  14. Find the mean and standard deviation for the following data :

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  15. Find the mean and standard deviation for the following data :

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  16. The scores of 10 students in a test, in which the maximum marks Were 5...

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  17. Later on the maximum marks were increased to 100, and accordingly each...

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  18. The scores of 48 children in an intelligence test are shown in the fol...

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  19. A sample of 25 variates has mean 40 and standand deviation 5 and a sec...

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  20. The mean of 5 observation is 4.4 and their variance is 8.24. If three ...

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